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The impedance matching formula is z= r+j ( XL xc).
Impedance Z= R+J ( XL XC) . where r is the resistance, xl is the inductive reactance, and xc is the capacitive reactance. If ( xl xc) >0, it is called "inductive load"; Conversely, if ( xl xc) <0 is called "capacitive load".
The three types of composites, the inductive reactance of the inductor and the capacitive reactance of the capacitance, are collectively referred to as "impedance" after compounding, and are written as mathematical formulas.
Impedance matching is mainly used on the transmission line, so as to achieve the purpose that all high-frequency microwave differential signals can be transmitted to the load point, and there will be almost no signal reflection back to the first point, so as to improve energy efficiency. The internal impedance of the signal source is equal to the characteristic impedance of the connected transmission line and the phase is the same, or the characteristic impedance of the transmission line is equal to the size and the phase of the impedance of the connected load, which is called the input or output of the transmission line in the state of impedance matching, which is referred to as impedance matching.
Matching conditions: 1. The load impedance is equal to the impedance in the source, and Chi Qingcong means that their modes and radial angles are equal respectively, so the voltage transmission without distortion can be obtained in the load impedance.
2. The load impedance is equal to the conjugate value of the impedance in the source, that is, their modes are equal and the sum of the radial angles is zero. In this case, the maximum power can be obtained in the load impedance. This matching condition is called conjugate matching.
If both the source impedance and the load impedance are pure impedance, then the two matching conditions are equivalent.
Impedance matching refers to a working state in which the load impedance and the internal impedance of the excitation source are matched to each other to obtain the maximum power output.
For circuits with different characteristics, the matching conditions are different. In a pure resistor circuit, when the load resistance is equal to the internal resistance of the excitation source, the output power is maximum, and this working state is called matching, otherwise it is called mismatching.
When the internal impedance of the excitation source and the load impedance contain reactance components, in order to maximize the power of the load, the load impedance and the internal resistance must meet the conjugate relationship, that is, the resistor components are equal, and the absolute value of the reactance components is equal but the sign is opposite. This matching condition is called conjugate matching.
Impedance matching is a part of microwave electronics, which is mainly used on the transmission line to achieve the purpose that all high-frequency microwave signals can be transmitted to the point of load, and there will be no signal reflection back to the first point, so as to improve energy efficiency.
Herbert Smith chart. A capacitor or inductor is connected in series with a load to increase or decrease the impedance value of the load, and the dots on the graph move along a circle representing the real resistance.
If a capacitor or inductor is grounded, the point on the graph will first rotate 180 degrees around the center of the graph, then walk along the resistance circle, and then rotate 180 degrees along the center. Repeat the above method until the resistance value becomes 1, and then the impedance force can be directly changed to zero to complete the matching. <>
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Impedance matching is an electronic design term used to ensure that the currents and voltages between input and output signals are matched to each other. Impedance mismatch can lead to signal reflections and power loss, which can affect the performance of nuclear closed circuits. The details of the three impedance matching techniques are described below.
Change quietly cracked. First of all, the use of transformers is an impedance matching technique. A transformer can adjust the impedance between the input and output signals by varying the inductance and resistance values in the circuit. A transformer works by passing an input signal into one or more coils, passing the signal into another coil through electromagnetic induction.
This method maintains the power and frequency of the signal while changing the impedance to match the input and output circuits.
Secondly, impedance matching can also be achieved by using capacitors. Capacitors can adjust the impedance between the input and output circuits by varying the capacitance value. Capacitors work by passing an input signal into one or more capacitors, passing the signal into the output circuit through the electric field effect.
This method maintains the signal power, but changes the signal frequency. Capacitors are commonly used in high-pass and low-pass filters that can pass signals of a specific frequency into a circuit.
Finally, the use of resistors is the third impedance matching technique. The impedance between the input and output circuits is adjusted by varying the resistance value. Resistors work by passing an input signal into one or more resistors, dissipating it by converting the power of the signal into heat.
This method maintains signal power and frequency, but loses the necessary electrical energy and converts it into heat.
In general, the above three impedance matching techniques are: using transformers, using capacitors, and using resistors. It is necessary to select the appropriate impedance matching technology according to the specific circuit characteristics and application requirements.
In practice, designers often use a combination of these techniques to achieve impedance matching. In order to ensure the performance of the circuit, impedance matching technology needs to be properly applied to the circuit design to ensure the quality of signal transmission and the stability of the circuit. <>